NCERT Workbook Solutions For Class 3 Chapter 2 Number Operations (Addition and Subtraction)

NCERT Workbook Solutions For Class 3 Chapter 2 Number Operations (Addition and Subtraction) Introduction

Adding two or more numbers is to find how many we have in all. The numbers we add are called the addends and the answer is the sum.

• When we add one to a number, the answer is its Successor. Adding a number to itself gives it double.
• Subtracting is taking away from a number. The answer we get is called the difference of the two numbers.
• When we subtract one from a number, the answer is its predecessor.
• When we add or subtract zero to a number, the number remains the same.

Read and Learn More Class 3 Workbook Solutions

NCERT Workbook Solutions For Class 3 Chapter 2 Addition and Subtraction

The Art Teacher divided the class into groups for a project. One of the groups decided to do crafts with shells. They had a good collection of colorful shells in different shapes.

Anu gave 14 shells, Vishal gave 16 shells, Preetigave 25 shells.

Manu gave 10 shells and Ria gave 8 shells. How many shells do they have in all? We add the numbers to get the sum or total number of shells.

How many shells do the children have in total?

14 + 16 + 25 + 10 + 8 = ?

14 + 16 = 30

30 + 25 = 55

55 + 10 = 65

65 + 8 = 73

The children had a total of 73 shells.

How much is 73 less than 100?

100 – 73 = 27.

Note: Addition and Subtraction are inverse operations.

Addition And Subtraction Example: 5 + 4 = 9, 9 – 5 = 4 and 9 – 4 = 5

We have learned how to add two-digit numbers. Numbers can be grouped according to their place value, to make addition easier. Let us see adding tens to make them hundred and thousand.

Adding without carrying over

Question 1. 160 + 20 = ?

Question 2. 130 + 2450 = ?

Question 3. Add 1374 + 222 + 4101 = ?

Subtraction without borrowing

Question 4. 170 – 30 = ?

Question 5. 5730 – 2530 = ?

Example 6. Subtract 2032 from 9254

NCERT Workbook Solutions For Class 3 Chapter 2 Number Operations Addition and Subtraction

Question 1. Choose the correct alternative.

1. 20 + 40 + 130 = ?

1. 100
2. 160
3. 180
4. 190

Answer: 4. 190

 

2. The sum of 100 + 120 + 140 is

1. 360
2. 320
3. 340
4. 300

Answer: 1. 360

 

3. Add: 1200 + 200 + 2 = ?

1. 1222
2. 1202
3. 1400
4. 1402

Answer: 4. 1402

 

4. Subtract: 450 – 230 = ?

1. 220
2. 250
3. 230
4. 120

Answer: 1. 220

 

5. 7777 – 300 = ?

1. 7200
2. 7270
3. 7477
4. 7300

Answer: 3. 7477

 

Question 2. Match the Column-1 with Column-2.

Answer: (1) → B, (2) → C, (3) → D, (4) → A

3. Fill in the blanks.

1. 530 + ___ = 2590
2. 180+ ___ +1000=1690

Answer: 

4. State whether the following statements are true or false.

1. 5105 + 550 = 5655
2. 2340 – 120 = 2220
3. 270 – 50 = 230

Answer:

1. 1. 5105 + 550 = 5655 statement is true
2. 2. 2340 – 120 = 2220 statement is true
3. 3. 270 – 50 = 230 statement is false

5. Very Short Answer Type Questions.

1. 700 + 200 = 450 + ___
2. 500 + 300 = 300 + 300 + ___

Answer:

6. Short Answer Type Questions.

1. 100 – 50 = ____ = 30 + ____
2. 180 – 0 = ____ = 100 + ____

Answer:

1. 100 – 50 = 50 = 30 + 20

2. 180 – 0 = 180 = 100 + 80

7. Activity Corner

1. Solve the following puzzle using addition and subtraction.

2. Complete the hexagon wall. Each number is made by adding the two numbers below.

Carryover and Borrowing Numbers

Addition with carry-over:

To add two-digit numbers, follow these rules:

• Write the number one below the other under the respective place value. Ones below ones and tens below tens.
• Add the one’s place.
• If the answer is less than L0, write it under the one’s Place.
• If the answer is more than L0 or more, it is a two-digit number. Write the value of the one under one’s and carry over the ten’s value to the ten’s place
• Now add the digits in ten places and write the value. The answer is the sum of the two numbers.

Question 1. Add 72 and 57.

Question 2. Add 465, 828 and 42

Subtraction by borrowing:

To subtract two-digit numbers, follow these rules:

• Write the numbers one below the other; under the respective place value. Ones below ones and tens below tens.
• Start from left, subtract the one’s place.
• If the first number (number on top) is greater than the second number; subtract and write in the one’s place.
• If the first number (number on top) is Iesser than the second number, borrow a ten from the ten’s column. Subtract the numbers and write in the one’s place.
• Now subtract the digits in ten’s place and write the value. The answer is the difference of the two numbers.

(Note: Remember to subtract the smaller number from the bigger number.)

Question 3. Subtract 17 from 35.

Answer: 35 – 17 = 18

Question 4. Subtract 75 from 120.

Answer: 120 -75 = 45

Question 5. Subtract 2759 from 6342.

Answer: 6342 – 2759 = 3583

NCERT Workbook Solutions For Class 3 Chapter 2 Number Operations Carryover and Borrowing Numbers

Question 1. Choose the correct alternative.

1. 6130 – 1799 = ?

1. 4229
2. 4331
3. 4631.
4. 5131

Answer: 2. 4331

2. 6612 – 446 = ?

1. 3166
2. 2166
3. 61,66
4. 5166

Answer: 3. 6,166

3. 1190 + 1009 + 999 = ?

1. 3198
2. 3138
3. 3130
4. 3090

Answer: 1. 3198

4. 2599 + 511 + 250 = ?

1. 2460
2. 3560
3. 3660
4. 3360

Answer: 4. 3360

5. 8612 + 9446 = ?

1. 18058
2. 17058
3. 1058
4. 1778

Answer: 1. 18058

Question 2. Match the Column-1 with Column-2. 

Solution. (1) → D, (2) → E, (3) → B, (4) → C, (5) → A

Question 3. State whether the following statements are true or false.

1. If 84 – 16 = 68 then 184 – 116 = 68. ()
2. If 13 – 7 = 6 then 7 + 6 = 13. ()
3. 200-199 = 199-200 ()

Answer:

1. If 84 – 16 = 68 then 184 – 116 = 68. The statement is true.
2. If 13 – 7 = 6 then 7 + 6 = 13. The statement is true.
3. 200 – 199 = 199 – 200. The statement is false.

Question 4. Very Short Answer Type Questions.

1. Find the sum of 148 and 335.
Answer: 148 + 335 = 483

2. Find the difference of 850 and 405.
Answer: 850 – 405 = 445

3. Find the sum of 99,999 and 9999
Answer: 99,999 + 9999 = 1,09,998

4. Subtract: 3700 – 555
Answer: 3700 – 555 = 3,145

Question 5. Activity Corner

1. Find the code with the given clue.

270 – 90 = O

180 + 243 = B

250 – 160 = A

270 + 144 = R

700 – 350 = V

NCERT Workbook Solutions For Class 3 Chapter 2 Number Operations Word Problems-Addition and Subtraction

We use addition and subtraction very often in our life. Let us understand when to add and when to subtract, in each situation.

Identify the keywords.

To solve word problems in addition or subtraction,

• First, identify the keywords and decide on the operation (addition or subtraction).
• Second, write down the numbers and group them according to Place value.
• Third, solve the sum by adding or subtracting the numbers.
• Use carryover in addition and borrowing in subtraction wherever necessary.

Addition Word Problems

Question 1. Amitha went with her mom to the nursery to buy saplings for their garden. They bought marigold saplings for ₹166, petunias for ₹280, poppies for ₹275, and Jasmin for ₹390. How much should they pay for all the saplings?

Question 2. Chitra and her brother Satish like to read books. They have L2 books on magic, 8 books on craft making, 32 books on comics, and 27 coloring books. How many books do they have combined?

Subtraction Word Problems

Question 3. Swamp deer population at Assam’s Manas National Park has been recorded as 121 in 2021, from 99 in 2020. What is the difference in the count of deer?

Question 4. The number of volunteers who registered in a summer camp to clean the beach was 2465. lf 826 of them were adults and the remaining were school students. How many students had registered as volunteers?

NCERT Workbook Solutions For Class 3 Chapter 2 Number Operations Word problems – Addition and Subtraction

Question 1. Choose the correct alternative.

1. I am the sum of two centuries and a half-centurys. Who am I? (Hint: a century is 100)

1. 250
2. 300
3. 150
4. 200

Answer: 1. 250

2. If you remove 220 from 10OO you will get.

1. 880
2. 780
3. 760
4. 860

Answer: 2. 780

3. The number of participants from each school for the district sports meet was increased from 450 to 800. What is the exact difference in student numbers?

1. 400
2. 1250
3. 350
4. 850

Answer: 3. 350

4. The number of visitors to the museum in the month of April was adults 130, students 480 teachers 140, and foreigners 125. How many visitors visited the museum in total?

1. 680
2. 770
3. 920
4. 875

Answer: 4. 875

5. What do you get when you take away 870 from 2654?

1. 1784
2. 2024
3. 1874
4. 1984

Answer: 1. 1784

Question 2. Match the Column-1 with Column-2.

Solution. (1) →E, (2) → C, (3) → A, (4) → B, (5) → D

Question 3. State whether the following statements are true or false.

1. When you add zero to any number the value does not change’ ( )

Answer: True

2. When you subtract zero from any number, its value decreases’ ( )

Answer: False

Question 4. Very Short Answer Type Questions.

Ravi and his sister Radha were playing the snake and ladder game during their holidays’ They played five games and the score was:

Ravi: 12, 80, 40, 11, 33

Radha: 63, 46, 100, 32, 77

1. What is Ravi’s total?

Answer: 12 + 80 + 40 + 11 + 33 = 176

2. What is Radha’s total?

Answer: 63 + 46 + 100 + 32 + 77 = 318

3. Who won the game and by what score?

Answer: Radha

Question 6. Activity Corner

1. A magic square is where you get the same value when you add horizontally each row, and vertically each column